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Finding the Fourth Proportional to 470,754.63, 649,671.57 and 264,042.43

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Solution

The fourth proportional to 470,754.63, 649,671.57 and 264,042.43 is: 364,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,754.63 : 649,671.57 = 264,042.43 : x
  2. Step 2: Convert to fraction form
    470,754.63/649,671.57 = 264,042.43/x
  3. Step 3: Cross multiply
    470,754.63x = 649,671.57 × 264,042.43
  4. Step 4: Simplify right side
    470,754.63x = 171,540,858,420.54
  5. Step 5: Solve for x
    x = 171,540,858,420.54/470,754.63
  6. Step 6: Final answer
    x = 364,395.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.